8-2 Trigonometric Ratios

Question 1

What are the three trigonometric functions?

Answer 1

sine
cosine
tangent

Question 2

How is the sine abbreviated?

Answer 2

sin

But still pronounced sine

Question 3

How is the cosine abbreviated?

Answer 3

cos

But still pounced cosine

Question 4

How is the tangent abbreviated?

Answer 4

tan

But still pronounced tangent

Question 5

What ratio is used for sine?

Answer 5

For a specified angle, it is the

length of opposite leg
divided by
length of hypotenuse

Question 6

What is the ratio used for the cosine?

Answer 6

For a specified angle, it is the

length of adjacent leg
divided by
length of hypotenuse

Question 7

What is the ratio used for the tangent?

Answer 7

For a specified angle, it is the

length of opposite leg
divided by
length of adjacent leg

Question 8

What helps us to remember the trig ratios?

Answer 8

SOH CAH TOA

sin is O/H
cos is A/H
tan is O/A

Question 9

What are the ratios used for a 45-45-90 right triangle?

Answer 9

leg = 1
leg = 1
hypotenuse = square root of 2

Question 10

What are the ratios used for a 30-60-90 right triangle?

Answer 10

shorter leg = 1
longer leg = square root of 3
hypotenuse = 2

Question 11

What is the sine for

30 degrees?
45 degrees?
60 degrees?

Answer 11

sine

30 degrees is 1/2
45 degrees is square root of 2/2
60 degrees is square root of 3/2

Question 12

What is the cosine for

30 degrees?
45 degrees?
60 degrees?

Answer 12

cosine

30 degrees is square root of 3/2
45 degrees is square root of 2.2
60 degrees is 1/2

Question 13

What is tangent for

30 degrees?
45 degrees?
60 degrees?

Answer 13

tangent

30 degrees = square root of 3/3
45 degrees = 1
60 degrees = square root of 3